Pensum/l?ringskrav

Pensum utgj?res f?rst og fremst av alle oppgavene vi har l?st, b?de ukesoppgavene og de to obligene.

1. Ukesoppgave 1
2. Ukesoppgave 2
3. Ukesoppgave 3
4. Ukesoppgave 4
5. Ukesoppgave 5
6. Ukesoppgave 6
7. Ukesoppgave 7
8. Ukesoppgave 8
9. Ukesoppgave 9
10. Ukesoppgave 10
11. Oblig 1
12. Oblig 2
13. Alle oppgavene for kapittel 1-4 i LINEAR WAVE THEORY Part B

Fourier transform (vi har ikke v?rt igjennom alt materiale i disse to kompendiene):

1. Harald E. Krogstad: Fouriertransformen - en innf?ring   (from Harald Krogstad sin hjemmeside)
2. Erik L?w & Ragnar Winther: Fourier analysis   (from Matematisk insitutt sin kompediesamling)

Stokastisk b?lgeteori:

1. Reprint of chapter 2 in
   Waves in Geophysical Fluids Tsunamis, Rogue Waves, Internal Waves and Internal Tides Series: CISM International Centre for Mechanical Sciences, Number 489 (eds. John Grue, Karsten Trulsen), pages 49-106
    
2. Chapters 1-4 in LINEAR WAVE THEORY Part B of
   LINEAR WAVE THEORY by Harald E. Krogstad and ?ivind A. Arntsen
   Look also at some comments and corrections to a couple of exercises

Spektrum og Gaussisk sj?:

1. Jos¨¦ Carlos Nieto Borge: Power Spectral Density (updated November 9)
2. Jos¨¦ Carlos Nieto Borge: The Gaussian Model of Wind-Generated Waves (updated October 20)

Ikkeline?r b?lgeteori:

1. Free and forced oscillations
2. Nonlinear water surface waves: Governing equations, potential theory and nonresonant waves
3. Nonlinear resonance conditions

Tilleggsmateriell (betraktes ikke som definerende for pensum, men illustrerer pensum):

1. Draupner tidsserie: freak.data  -  Sverre Haver: Freak wave event at Draupner jacket, January 1 1995.
2. Bay of Biscay time series: WaveTimeSeries.dat  -  The network of buoys of the Spanish Port Authority (in Spanish).  Puertos 150, 9-10. (2009)
3. Waterman & Whiteman (1978): Estimation of probability densities by empirical density functions. Int. J. Math. Educ. Sci. Technol. 9, 127-137.   (look at the first two sections and the first two figures for a description of empirical distribution)
4. Phillips (1958): The equilibrium range in the spectrum of wind-generated waves. J. Fluid Mech. 4, 426-434.  (read entire paper)
5. Dysthe, Krogstad & M¨¹ller (2008): Oceanic rogue waves. Annual Review of Fluid Mechanics 40, 287¨C310.  (read pages 287-291 for a nice review)
6. Phillips (1960): On the dynamics of unsteady gravity waves of finite amplitude Part 1. The elementary interactions. Journal of Fluid Mechanics 9, 193-217. (look at the "figure 8")
7. McLean et al. (1981): Three-Dimensional Instability of Finite-Amplitude Water Waves. Physical Review Letters 46, 817-822. (look at the figures and compare to the result of Oblig II)